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										 |  |  | /* IEEE754 floating point arithmetic
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							|  |  |  |  * double precision: common utilities | 
					
						
							|  |  |  |  */ | 
					
						
							|  |  |  | /*
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							|  |  |  |  * MIPS floating point support | 
					
						
							|  |  |  |  * Copyright (C) 1994-2000 Algorithmics Ltd. | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  *  This program is free software; you can distribute it and/or modify it | 
					
						
							|  |  |  |  *  under the terms of the GNU General Public License (Version 2) as | 
					
						
							|  |  |  |  *  published by the Free Software Foundation. | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  *  This program is distributed in the hope it will be useful, but WITHOUT | 
					
						
							|  |  |  |  *  ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | 
					
						
							|  |  |  |  *  FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License | 
					
						
							|  |  |  |  *  for more details. | 
					
						
							|  |  |  |  * | 
					
						
							|  |  |  |  *  You should have received a copy of the GNU General Public License along | 
					
						
							|  |  |  |  *  with this program; if not, write to the Free Software Foundation, Inc., | 
					
						
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										 |  |  |  *  51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA. | 
					
						
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										 |  |  |  */ | 
					
						
							|  |  |  | 
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							|  |  |  | #include "ieee754dp.h"
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							|  |  |  | 
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										 |  |  | union ieee754dp ieee754dp_add(union ieee754dp x, union ieee754dp y) | 
					
						
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										 |  |  | { | 
					
						
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										 |  |  | 	int s; | 
					
						
							|  |  |  | 
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										 |  |  | 	COMPXDP; | 
					
						
							|  |  |  | 	COMPYDP; | 
					
						
							|  |  |  | 
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							|  |  |  | 	EXPLODEXDP; | 
					
						
							|  |  |  | 	EXPLODEYDP; | 
					
						
							|  |  |  | 
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										 |  |  | 	ieee754_clearcx(); | 
					
						
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										 |  |  | 
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							|  |  |  | 	FLUSHXDP; | 
					
						
							|  |  |  | 	FLUSHYDP; | 
					
						
							|  |  |  | 
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							|  |  |  | 	switch (CLPAIR(xc, yc)) { | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_QNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_SNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_SNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_SNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_SNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_SNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_SNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_ZERO): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_NORM): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_DNORM): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_SNAN, IEEE754_CLASS_INF): | 
					
						
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										 |  |  | 		ieee754_setcx(IEEE754_INVALID_OPERATION); | 
					
						
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										 |  |  | 		return ieee754dp_nanxcpt(ieee754dp_indef()); | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_QNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_QNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_QNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_QNAN): | 
					
						
							|  |  |  | 		return y; | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_QNAN): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_ZERO): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_NORM): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_DNORM): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_QNAN, IEEE754_CLASS_INF): | 
					
						
							|  |  |  | 		return x; | 
					
						
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										 |  |  | 	/*
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							|  |  |  | 	 * Infinity handling | 
					
						
							|  |  |  | 	 */ | 
					
						
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										 |  |  | 	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_INF): | 
					
						
							|  |  |  | 		if (xs == ys) | 
					
						
							|  |  |  | 			return x; | 
					
						
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										 |  |  | 		ieee754_setcx(IEEE754_INVALID_OPERATION); | 
					
						
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										 |  |  | 		return ieee754dp_indef(); | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_INF): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_INF): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_INF): | 
					
						
							|  |  |  | 		return y; | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_ZERO): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_NORM): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_INF, IEEE754_CLASS_DNORM): | 
					
						
							|  |  |  | 		return x; | 
					
						
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										 |  |  | 	/*
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							|  |  |  | 	 * Zero handling | 
					
						
							|  |  |  | 	 */ | 
					
						
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										 |  |  | 	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_ZERO): | 
					
						
							|  |  |  | 		if (xs == ys) | 
					
						
							|  |  |  | 			return x; | 
					
						
							|  |  |  | 		else | 
					
						
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										 |  |  | 			return ieee754dp_zero(ieee754_csr.rm == FPU_CSR_RD); | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_ZERO): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_ZERO): | 
					
						
							|  |  |  | 		return x; | 
					
						
							|  |  |  | 
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_NORM): | 
					
						
							|  |  |  | 	case CLPAIR(IEEE754_CLASS_ZERO, IEEE754_CLASS_DNORM): | 
					
						
							|  |  |  | 		return y; | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_DNORM): | 
					
						
							|  |  |  | 		DPDNORMX; | 
					
						
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							|  |  |  | 		/* FALL THROUGH */ | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_DNORM): | 
					
						
							|  |  |  | 		DPDNORMY; | 
					
						
							|  |  |  | 		break; | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_DNORM, IEEE754_CLASS_NORM): | 
					
						
							|  |  |  | 		DPDNORMX; | 
					
						
							|  |  |  | 		break; | 
					
						
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							|  |  |  | 	case CLPAIR(IEEE754_CLASS_NORM, IEEE754_CLASS_NORM): | 
					
						
							|  |  |  | 		break; | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	assert(xm & DP_HIDDEN_BIT); | 
					
						
							|  |  |  | 	assert(ym & DP_HIDDEN_BIT); | 
					
						
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										 |  |  | 	/*
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							|  |  |  | 	 * Provide guard,round and stick bit space. | 
					
						
							|  |  |  | 	 */ | 
					
						
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										 |  |  | 	xm <<= 3; | 
					
						
							|  |  |  | 	ym <<= 3; | 
					
						
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							|  |  |  | 	if (xe > ye) { | 
					
						
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										 |  |  | 		/*
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							|  |  |  | 		 * Have to shift y fraction right to align. | 
					
						
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										 |  |  | 		 */ | 
					
						
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										 |  |  | 		s = xe - ye; | 
					
						
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										 |  |  | 		ym = XDPSRS(ym, s); | 
					
						
							|  |  |  | 		ye += s; | 
					
						
							|  |  |  | 	} else if (ye > xe) { | 
					
						
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										 |  |  | 		/*
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							|  |  |  | 		 * Have to shift x fraction right to align. | 
					
						
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										 |  |  | 		 */ | 
					
						
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										 |  |  | 		s = ye - xe; | 
					
						
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										 |  |  | 		xm = XDPSRS(xm, s); | 
					
						
							|  |  |  | 		xe += s; | 
					
						
							|  |  |  | 	} | 
					
						
							|  |  |  | 	assert(xe == ye); | 
					
						
							|  |  |  | 	assert(xe <= DP_EMAX); | 
					
						
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							|  |  |  | 	if (xs == ys) { | 
					
						
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										 |  |  | 		/*
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							|  |  |  | 		 * Generate 28 bit result of adding two 27 bit numbers | 
					
						
							|  |  |  | 		 * leaving result in xm, xs and xe. | 
					
						
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										 |  |  | 		 */ | 
					
						
							|  |  |  | 		xm = xm + ym; | 
					
						
							|  |  |  | 		xe = xe; | 
					
						
							|  |  |  | 		xs = xs; | 
					
						
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										 |  |  | 		if (xm >> (DP_FBITS + 1 + 3)) { /* carry out */ | 
					
						
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										 |  |  | 			xm = XDPSRS1(xm); | 
					
						
							|  |  |  | 			xe++; | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  | 	} else { | 
					
						
							|  |  |  | 		if (xm >= ym) { | 
					
						
							|  |  |  | 			xm = xm - ym; | 
					
						
							|  |  |  | 			xe = xe; | 
					
						
							|  |  |  | 			xs = xs; | 
					
						
							|  |  |  | 		} else { | 
					
						
							|  |  |  | 			xm = ym - xm; | 
					
						
							|  |  |  | 			xe = xe; | 
					
						
							|  |  |  | 			xs = ys; | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  | 		if (xm == 0) | 
					
						
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										 |  |  | 			return ieee754dp_zero(ieee754_csr.rm == FPU_CSR_RD); | 
					
						
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										 |  |  | 		/*
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							|  |  |  | 		 * Normalize to rounding precision. | 
					
						
							|  |  |  | 		 */ | 
					
						
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										 |  |  | 		while ((xm >> (DP_FBITS + 3)) == 0) { | 
					
						
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										 |  |  | 			xm <<= 1; | 
					
						
							|  |  |  | 			xe--; | 
					
						
							|  |  |  | 		} | 
					
						
							|  |  |  | 	} | 
					
						
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										 |  |  | 
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							|  |  |  | 	return ieee754dp_format(xs, xe, xm); | 
					
						
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										 |  |  | } |